Answer:
see below
Step-by-step explanation:
It works well to think about what these compound inequalities mean. One way to do that is to graph them, or to imagine what the graph of them looks like.
Since the result is a single inequality (x < 2), the compound will be "and" with x < 2 being more restrictive, or will be "or" with x < 2 being the least restrictive of completely overlapping inequalities.
Of the choices offered, C is the one of interest.
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<em>Comment on other choices</em>
A has all real numbers as solutions except in the range 2 ≤ x ≤ 3.
B has no solutions
C simplifies to x < 2 . . . . the one we want
D simplifies to x < 4
Answer:
24
Step-by-step explanation:
Given that:
Total number of members who race = 18
Ratio of racers to divers = 6 : 2
To find:
Total number of members of the team = ?
Solution:
Given the ratio = 6 : 2
As per the ratio given, we can let the number of racers =
and
As per the ratio given, we can let the number of divers =
As the swim team members can either race or dive, we can say that:
Total number of members on the team = Number of racers + Number of divers
Total number of members on the team =
As per the question statement, we are given that:
Therefore, total number of team members = 8 3 = <em>24</em>
Answer:
See below
Step-by-step explanation:
Part A:
area of parallelogram = base * height
A = 9 ft * 8/9 ft = 8 ft^2
Part B:
Connect point D to point B with a segment. Now you have 2 triangles.
The area of each triangle is base * height/2
area of triangle = bh/2 = (9 ft)(8/9 ft)/2 = 4 ft^2
Answer:
90 degrees counterclockwise (ccw)
Answer:
m<ABC=94°
m<BCD=25°
m<ACB=43°
Step-by-step explanation:
To find <mBCD
m<ABD=133°, so m<CBD=133° too.
A triangle is equal to 180°.
22°+133°=155°
80°-155°=25°
To find <mACB
You first need to know triangle ACD measurements.
m<ADC=44° (22°+22°)
Then you take the two 25 and add them.
25°+25°=50°
50°+44°=94°
180°-94°=86°
86°÷2=43°
To find m<ABC
43°+43°=86°
180°-86°=94°